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3 years ago

Please help me answer this

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

Answer:

Step-by-step explanation:

-3.35 must be between -3 and -4, but it is closer to -3 than -4.

Each tick represents 0.10. Three and a half ticks to the left of -3 is -3.35.

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Step-by-step explanation:

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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

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The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

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$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

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3 years ago